Q 1157891784.     A block of mass `M` with a semicircular track of radius `R`, rests on a horizontal smooth surface. A uniform cylinder of radius `r` and mass `m` is released from rest at the top point A (see fig.). The cylinder slips on the semicircular frictionless track. How far has the block moved when the cylinder reaches the bottom (point B) of the track? What is the speed of the block when the cylinder reaches the bottom of the track?

A

`(M (R−r))/(M+m), m sqrt((2g (R−r))/(m (M+m)))`

B

`(m (R−r))/(M+m), m sqrt((2g (R−r))/(m (M+m)))`

C

`(m (R−r))/(M+m), m sqrt((2g (R−r))/(M (M+m)))`

D

None of these.

HINT

Conservation of mechanical energy.

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